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Experimental Number Theory  무료배송

 
지은이 : Fernando Rodriguez Villegas
출판사 : Oxford
판수 : 1 edition
페이지수 : 214
ISBN : 9780199227303
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 품절
     

 
This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language for the computational package PARI, and are available for download from the author's website.

About the Author


Fernando Villegas is in the Department of Mathematics, University of Texas at Austin.
1 Basic examples 1
2 Reciprocity
3 Positive definite binary quadratic forms
4 Sequences
5 Combinatorics
6 p-adic numbers
7 Polynomials
8 Remarks on selected exercises
References
Index

Review


...easily readable...The book can be warmly recommended not only to those with a preference for number theory but even for the general readership in pure mathematics or supervisors looking for creative examples for further motivation of scientific computations. EMS Newsletter.
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